ECAT Pre Engineering MCQ Test With Answer for Chapter 2 Mathematics

If A is a set then any subset R of A x A is called

• relation on A A
• relation on B B
• relation from A to B C
• relation from B to A D

If D = {a} , the P(D) =

• {a} A

• ∅

  B
• {∅,{a}} C
• {∅,a} D

• A is proper subset of B A
• A is an improper subset of B B
• A is equivalent to B C
• B is subset of A D

For any two sets A and, A ⊆ B if

• x ∈ A ⇒ x ∈ B A
• x ∉ A ⇒ x ∉ B B
• x ∈ A ⇒ x ∉ B C
• None of these D

What is the number of elements of the power set of {0, 1}

• 1 A
• 2 B
• 3 C
• 4 D

The set of the first elements of the ordered pairs forming a relation is called its

• Function on B A
• Range B
• Domain C
• A into B D

A disjunction of two statement p and q is true

• p is false A
• q is false B
• Both p and q are false C
• One of p and q is true D

• A A
• B B
• U C
• None of these D

If C={p/p < 18, p is a prime number}, then C =

• {2,3,4,.........17} A
• {2,4,6,8................16} B
• {1,3,5,7,9,11,13,15,17} C
• {3,6,9,12,15} D

A conditional "if p then q" is denoted by

• 
  A
• 
  B
• 
  C
• 
  D

Let A and B be two sets. If every element of A is also an element of B then

• 
  A
• 
  B
• 
  C
• 
  D

• A A
• A' B
• U C
• U' D

If A = {2m/m³= 8 , m€ Z} then A =

• {1,8,27} A
• {4} B
• (2,4,6} C
• {2,16,54} D

What is the number of elements of the power set of { }

• 0 A
• 1 B
• 2 C
• 3 D

If n(A) = n then n(P(A)) is

• 2n A
• n² B
• n/2 C
• 2ⁿ D

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

• -a A
• a + 1 B
• -2 -a C
• None of these D

The set {Z\{0}} is group w.r.t

• Addition A
• Multiplication B
• Division C
• Subtraction D

{x : xε Z and x < 1} is

• Singleton set A
• A set with two points B
• Empty set C
• None of these D

• 
  A
• 
  B
• 
  C
• 
  D

The set of complex numbers forms a group under the binary operation of

• Addition A
• none of these B
• Division C
• Subtraction D

Write down the power set of {9, 11}

• 
  A
• 
  B
• 
  C
• 
  D

The complement of set A relative to universal set U is the set

• {x / x∈ A∧ x∈ U} A
• {x / x∉ A∧ x ∈ U} B
• {x / x∈ A and x ∉ U} C
• A-U D

The set of real numbers is a subset of

• The set of natural numbers A
• The set of rational numbers B
• The set of integers C
• The set of complex numbers D

Z is a

• Infinite set A
• Finite set B
• Singleton set C
• Set of all integers D

Onto function is also called

• Binjective function A
• Injective function B
• Surjechive function C
• None of these D

The graph of a quadratic function is

• Circle A
• Ellipse B
• Parabola C
• Hexagon D

A∪(A∪B)= --------------------

• B A
• A B
• A∪B C
• None of these D

The set of whole numbers is subset of

• The set on integers A
• The set of natural numbers B
• {1, 3, 5, 7, ....} C
• The set of prime numbers D

If x = 1/x for x ∈ R then the value of x is

• ±1 A
• 0 B
• 2 C
• 4 D

The multiplicative inverse of -1 in the set {1-, 1} is

• 1 A
• -1 B
• 0 C
• Does not exist D